Answer:
Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
Solution:
From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
[tex]\bold{c^{2} = a^{2} + b^{2}}[/tex]
[tex]c^{2} = 120^{2} + 80^{2}[/tex]
[tex]c^{2} = 14400 + 6400[/tex]
= 20800
Taking square root on both sides, we get
[tex]c = \sqrt{20800}[/tex]
= 144.22 m
Hence the distance between the pond and farm is 144.22 m
